TSTP Solution File: SYN264-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN264-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 09:00:49 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   17 (   9 unt;   0 nHn;  17 RR)
%            Number of literals    :   31 (   0 equ;  17 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   15 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
    s0(b) ).

cnf(axiom_20,axiom,
    l0(a) ).

cnf(axiom_26,axiom,
    n0(d,c) ).

cnf(axiom_28,axiom,
    k0(e) ).

cnf(rule_063,axiom,
    ( p1(D,D,E)
    | ~ n0(d,D)
    | ~ k0(E) ) ).

cnf(rule_071,axiom,
    ( p1(H,I,H)
    | ~ l0(J)
    | ~ p1(I,A,H)
    | ~ s0(b) ) ).

cnf(prove_this,negated_conjecture,
    ~ p1(e,c,e) ).

cnf(refute_0_0,plain,
    ( ~ k0(X_191)
    | ~ n0(d,c)
    | p1(c,c,X_191) ),
    inference(subst,[],[rule_063:[bind(D,$fot(c)),bind(E,$fot(X_191))]]) ).

cnf(refute_0_1,plain,
    ( ~ k0(X_191)
    | p1(c,c,X_191) ),
    inference(resolve,[$cnf( n0(d,c) )],[axiom_26,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ k0(e)
    | p1(c,c,e) ),
    inference(subst,[],[refute_0_1:[bind(X_191,$fot(e))]]) ).

cnf(refute_0_3,plain,
    p1(c,c,e),
    inference(resolve,[$cnf( k0(e) )],[axiom_28,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ l0(J)
    | ~ p1(I,A,H)
    | p1(H,I,H) ),
    inference(resolve,[$cnf( s0(b) )],[axiom_5,rule_071]) ).

cnf(refute_0_5,plain,
    ( ~ l0(X_380)
    | ~ p1(c,c,e)
    | p1(e,c,e) ),
    inference(subst,[],[refute_0_4:[bind(A,$fot(c)),bind(H,$fot(e)),bind(I,$fot(c)),bind(J,$fot(X_380))]]) ).

cnf(refute_0_6,plain,
    ( ~ l0(X_380)
    | p1(e,c,e) ),
    inference(resolve,[$cnf( p1(c,c,e) )],[refute_0_3,refute_0_5]) ).

cnf(refute_0_7,plain,
    ~ l0(X_380),
    inference(resolve,[$cnf( p1(e,c,e) )],[refute_0_6,prove_this]) ).

cnf(refute_0_8,plain,
    ~ l0(a),
    inference(subst,[],[refute_0_7:[bind(X_380,$fot(a))]]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN264-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 19:47:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  
% 0.18/0.49  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.50  
%------------------------------------------------------------------------------